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Finding the Fourth Proportional to 11,536.86, 15,917.51 and 7,764.29

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Solution

The fourth proportional to 11,536.86, 15,917.51 and 7,764.29 is: 10,712.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,536.86 : 15,917.51 = 7,764.29 : x
  2. Step 2: Convert to fraction form
    11,536.86/15,917.51 = 7,764.29/x
  3. Step 3: Cross multiply
    11,536.86x = 15,917.51 × 7,764.29
  4. Step 4: Simplify right side
    11,536.86x = 123,588,045.31
  5. Step 5: Solve for x
    x = 123,588,045.31/11,536.86
  6. Step 6: Final answer
    x = 10,712.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.